Navigating Through Problem Solving and Reasoning in Grades 6-8 PDF Download

Author: Susan N. Friel
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 230

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Book Description
Presents investigations that allow students to reason about factors, area formulas, similar figures, data in a set and growing patterns.

Author: Denisse Rubilee Thompson
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 132

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Book Description
Presents hands-on investigations that nuture reasoning and problem-solving strategies. Students have opportunities to reason about parts of a whole, analyze patterns of growth, discover area formulas for familiar shapes, explore scale factors and similar figures, and analyze a set of date to solve a real-world problem.

Author: Karol L. Yeatts
Publisher: National Council of Teachers of English
ISBN:
Category : Education
Languages : en
Pages : 76

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Book Description
Students reason about place value by making and using pedometers, understand related changes in two quantities by exploring parade formations for thirty-six marchers, and analyze data by devising rules for earning reading certificates.

Author:
Publisher:
ISBN:
Category : Curriculum planning
Languages : en
Pages : 154

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Book Description
Problem solving and reasoning are students' processes of actively applying what they know to new problems from diverse areas of mathematics. Knowing a variety of mathematical ideas is insufficient unless students can draw on, integrate and use them to solve challenging, complex problems. The Navigating through Problem Solving and Reasoning books for grades 3-6 present hands-on investigations that nurture reasoning and problem-solving strategies in each of the upper elementary grades. In investigations for grade 5, children reason about place value and divisibility by making a PIN for a security system, explore rates of change by projecting sales at a new pet shop and determine the best month for a ski trip by analysing snowfall data. Students apply mathematical ideas from the five main content areas-number, algebra, geometry, measurement and data analysis. As they work, they infer, generalise, reason by analogy, recognise relationships and make representations and they also predict, check and revise and verify their results. The Navigations series translates Principles and Standards for School Mathematics into action.Each book includes practical, teacher-tested activities and a supplemental CD-ROM that features applets for students' use and resources for teachers' professional development.

Author: Michael T. Battista
Publisher:
ISBN: 9780873537049
Category : Mathematics
Languages : en
Pages : 0

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Book Description
Reasoning and Sense Making in the Mathematics Classroom, Grades 6-8, based on extensive research conducted by the authors, is designed to help classroom teachers understand, monitor, and guide the development of students' reasoning and sense making about core ideas in middle school mathematics. It describes and illustrates the nature of these skills using classroom vignettes and actual student work in conjunction with instructional tasks and learning progressions to show how instruction can support students in their development of these competencies. Students who can make sense of mathematical ideas can apply those ideas in problem solving, even in unfamiliar situations, and can use them as a foundation for future learning. Without this base of conceptual understanding, students are reduced to rote learning, often experiencing frustration and failure. But what do reasoning and sense making look like in learning and teaching? Each chapter of Reasoning and Sense Making in the Mathematics Classroom, Grades 6-8 explores a different topic that children encounter in mathematics, demonstrating with actual student work and classroom dialogue how their mathematical knowledge and reasoning ability move through "levels of sophistication," or learning progressions: After opening with a discussion of the nature of reasoning and sense making and their critical importance in developing mathematical thinking, chapter 1 examines how students attempt to make sense of the concepts of fractions and geometric properties of shapes. Chapter 2 discusses how reasoning about ratios and proportional relationships involves deep understanding of the multiplicative relationships embedded in the comparisons of two quantities. Chapter 3 focuses on what it means to call algebra a "style of mathematical thinking" and illustrates how students can view it as a reasoning and sense-making activity rather than as an isolated set of concepts to be memorized without understanding and quickly forgotten. Reasoning and sense making are inextricably linked in statistics and probability. Discussion and examples are used in chapter 4 to illustrate pedagogical practices that recognize and address students' development of statistical understanding, including some of the misunderstandings that students display along the way. Chapter 5 examines how students make sense of and reason about decomposing shapes, and discusses the mental processes underlying this reasoning in the context of area, surface area, and volume. Not just a theoretical treatise, the book provides specific suggestions for related instructional activities for each topic. Reasoning and Sense Making in the Mathematics Classroom, Grades 6-8 will be a valuable and practical addition to your professional library.

Author: Karol L. Yeatts
Publisher: National Council of Teachers of English
ISBN:
Category : Education
Languages : en
Pages : 100

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Book Description
Features investigations in each of the five content areas of Principles and Standards for School Mathematics. In addition to using Eratosthenes' sieve to identify prime numbers, fourth graders evaluate algebraic relationships in contracts between theatre owners and movie distributors. They consider geometric possibilities for rectangular puzzles, convert surprising real-world measures into equivalent but more comprehensible measures and examine tables and graphs to extrapolate missing data.

Author: Randall E. Groth
Publisher: SAGE Publications
ISBN: 1483307093
Category : Education
Languages : en
Pages : 513

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Book Description
A journey into the vibrant and intriguing world of mathematics education Teaching Mathematics in Grades 6 - 12 explores how research in mathematics education can inform teaching practice in grades 6-12. The author shows secondary mathematics teachers the value of being a researcher in the classroom by constantly experimenting with methods for developing students′ mathematical thinking and then connecting this research to practices that enhance students′ understanding of the material. The chapters in Part I introduce secondary teachers to the field of mathematics education with cross-cutting issues that apply to teaching and learning in all mathematics content areas. The chapters in Part II are devoted to specific mathematics content strands and describe how students think about mathematical concepts. The goal of the text is to have secondary math teachers gain a deeper understanding of the types of mathematical knowledge their students bring to grade 6 – 12 classrooms, and how students′ thinking may develop in response to different teaching strategies.

Author: Marian Small
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 60

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Book Description
Contains instructions, blackline masters, and solutions for five investigations in the content strands identified in the series: number and operations, algebra, geometry, measurement, and data analysis and probability. The CD-ROM contains blackline masters, readings for teachers, and applets for student use.

Author: Reuven Rashkovsky
Publisher: Author House
ISBN: 1467068640
Category : Education
Languages : en
Pages : 172

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Book Description
Brain Power Enrichment Programs aim to develop problem-solving abilities in students who wish to improve their skills. Additionally, the program may provide challenging, stimulating and inspirational learning experiences through engagement with math and logic problem solving for gifted children. This book accompanies a Level Two student through his/her second semester of the problem solving program (or it may be used independently as a problem solving workbook). All Brain Power programs are based on a step-by-step approach, which enables students to understand problems of increasing complexity. Level Two continues to equip students typically in grades 6 to 8 with problem solving strategies and techniques, and supports the application of these skills to algebra and geometry. The implications for improving one’s problem solving skills are numerous. These include a more positive attitude toward math and science, improved thinking flexibility and creativity in all subject areas, as well as increased success on academic, gifted, university admissions, and professional program tests (many of which are designed with an emphasis on assessing higher-order thinking skills). Moreover, knowledge of a range of problem solving strategies coupled with experience in their application, have benefits which transcend the classroom and enter the realm of professional, social, and intellectual accomplishment.

Author: Reuven Rashkovsky
Publisher: Author House
ISBN: 1467068608
Category : Education
Languages : en
Pages : 144

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Book Description
Brain Power Enrichment Programs aim to develop problem-solving abilities in students who wish to improve their skills. Additionally, the program may provide challenging, stimulating and inspirational learning experiences through engagement with math and logic problem solving for gifted children. This book accompanies a Level Two student through his/her second semester of the problem solving program (or it may be used independently as a problem solving workbook). All Brain Power programs are based on a step-by-step approach, which enables students to understand problems of increasing complexity. Level Two continues to equip students typically in grades 6 to 8 with problem solving strategies and techniques, and supports the application of these skills to algebra and geometry. The implications for improving one’s problem solving skills are numerous. These include a more positive attitude toward math and science, improved thinking flexibility and creativity in all subject areas, as well as increased success on academic, gifted, university admissions, and professional program tests (many of which are designed with an emphasis on assessing higher-order thinking skills). Moreover, knowledge of a range of problem solving strategies coupled with experience in their application, have benefits which transcend the classroom and enter the realm of professional, social, and intellectual accomplishment.